1150871141376 has 1056 divisors, whose sum is σ = 3983669254656. Its totient is φ = 328458240000.

The previous prime is 1150871141351. The next prime is 1150871141401. The reversal of 1150871141376 is 6731411780511.

1150871141376 is a `hidden beast` number, since 1 + 1 + 508 + 7 + 1 + 1 + 4 + 137 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1150871141351) and next prime (1150871141401).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×1150871141376³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6358404006 + ... + 6358404186.

Almost surely, 2^{1150871141376} is an apocalyptic number.

1150871141376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150871141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991834627328).

1150871141376 is an abundant number, since it is smaller than the sum of its proper divisors (2832798113280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1150871141376 is a wasteful number, since it uses less digits than its factorization.

1150871141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 1150871141376 in words is "one trillion, one hundred fifty billion, eight hundred seventy-one million, one hundred forty-one thousand, three hundred seventy-six".